The sampled-data boundary control problem for a longitudinal flexible bar is formulated as a linear discrete-time control problem in an infinite-dimensional state space. With zero-order-hold applied to the control channel, the system is lifted into an infinite sequence of constant control problems. The finite-dimensional approximation of the discrete-time system is controllable-observable if the sampling period satisfies some inequality constraints, which are related to the associated eigenvalues.
Issue Section:Technical Papers
Keywords:sampled data systems, elasticity, discrete time systems, eigenvalues and eigenfunctions, vibration control
Zauderer, E. 1989, Partial Differential Equations of Applied Mathematics, Wiley-Interscience, New York.
Rao, S. S., 1990, Mechanical Vibrations, Addison Wesley, New York.
Sliding Mode Control in Dynamic Systems,”
Int. J. Control,
Kreyszig, E., 1979, Advanced Engineering Mathematics, Wiley, New York.
Wallace, P. R., 1972, Mathematical Analysis of Physical Problems, Dover, New York.
Lindfield, G., and Penny, J., 1995, Numerical Methods Using MATLAB, Ellis Horwood, New York.
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